四川师范大学学报（自然科学版）2012，Vol.35Issue(3)：293-296,4.DOI:10.3969/j.issn.1001-8395.2012.03.001
非线性Chaffee-Infante反应扩散方程的新精确解
New Exact Solutions of Nonlinear Chafee-Infante Reaction and Diffusion Equation
摘要
Abstract
Reaction-diffusion equations are mathematical models which explain the processes of transition, diffusion and fluidity of substances. Constructing the exact solutions of this kind of equations are naturally applied in many fields such as mathematics, physics, chemistry and biology. In this paper, by applying the generalized Riccati equation substitution, the exact solutions of nonlinear Chafee-Infante reaction diffusion equations are constructed. The solutions are of 27 forms. This method used in this paper is widely ap-plicatable for handling other nonlinear reaction diffusion equations.关键词
Chaffee-Infante/反应扩散方程/广义Riccati方程/精确解Key words
Chafee-Infante reaction and diffusion equation/ generalized Riccati equation/ exact solution分类
数理科学引用本文复制引用
孙峪怀,杨少华,王佼,刘福生..非线性Chaffee-Infante反应扩散方程的新精确解[J].四川师范大学学报（自然科学版）,2012,35(3):293-296,4.基金项目
国家自然科学基金委员会-中国工程物理研究院NASF联合基金(10576025)和四川省教育厅自然科学重点基金(2010ZA004)资助项目 （10576025）
